Suppose that you have $1 million and the following two opportunities from which to construct a portfolio:a. Risk-free asset earning 11% per year.b. Risky asset with expected return of 35% per year and standard deviation of 42%.If you construct a portfolio with a standard deviation of 30%, what is its expected rate of return? (Do not round your intermediatecalculations. Round your answer to 1 decimal place.)Expected return on portfolio%

The Expected rate of return of the portfolio or overall return of the portfolio refers to the total…

Answered: Suppose that you have $1 million and…

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Suppose there is a risk-free asset whose return is 2% and that the market portfolio has an expected return of 10%. The standard deviation of the market portfolio is given 25% 1). Consider an asset that currently sells for $30 and has βi = 0.6. Suppose the asset pays a dividend of $1.5 and the expected price at the end of the period is $30.5. Calcuate the α of this asset. Is it over- or underpriced?2). Consider an asset with βi = 1.25 and expected return of 11%. Can an investor use this asset to make a risk-free profit through arbitrage? Explain your answer
1. Given the following summary statistics, Mean S.D. 1.235 0.997 Asset A 0.52 Asset B. 0.44 (a) If the correlation between the two financial series is 0.25. What are the optimal portfolio weights to minimize risk? (b) What are the expected return and standard deviation of the optimal port- folio? (c) Compute the 1% Value-at-Risk for the next 5 days (d) Compute the expected shortfall
You are going to invest $20,000 in a portfolio consisting of assets X, Y, and Z, as follows: Asset Annual Return Probability Beta Proportion X 10% 0.50 1.2 0.333 Y 8% 0.25 1.6 0.333 Z 16% 0.25 2.0 0.333 Given the information in Table 5.2, The beta of the portfolio in Table 8.2, containing assets X, Y, and Z is ________. Select one: a. 1.6 b. 2.0 c. 1.5 d. 2.4
You are going to invest $50,000 in a portfolio consisting of assets X, Y, and Z, as follows; What is the expected return of this portfolio? Calculate the beta coefficient of the portfolio
Assume you have two assets A and B. You know the expected return and standard deviation of returns for each asset. This information is shown in the table below. You plan to put 50% of your wealth into each assets. What would the expected return be for the portfolio? Asset A B 0.03 0.27 0.135 0.15 returns 12% 15% standard deviations 20% 40%
Suppose that you have $1 million and the following two opportunities from which to construct a portfolio:a. Risk-free asset earning 12% per year.b. Risky asset with expected return of 30% per year and standard deviation of 40%.If you construct a portfolio with a standard deviation of 30%, what is its expected rate of return?
Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $70,000 or $200,000 with equal probabilities of .5. The alternative risk-free investment in T-bills pays 6% per year.a. If you require a risk premium of 8%, how much will you be willing to pay for the portfolio?b. Suppose that the portfolio can be purchased for the amount you found in (a). What will be the expected rate of return on the portfolio?c. Now suppose that you require a risk premium of 12%. What is the price that you will be willing to pay?d. Comparing your answers to (a) and (c), what do you conclude about the relationship between the required risk premium on a portfolio and the price at which the portfolio will sell?
Suppose you have $2,000 to invest. The market portfolio has an expected return of 10.5 percent and a standard deviation of 16 percent. The risk-free rate is 3.75 percent. How much should you invest in the risk-free asset if you wish to have a 15 percent return on the portfolio?
Description Provide the portfolio percentages to accomplish the following: 1. 5% chance of loosing at most $50,000 2. 5% chance of losing at most $75,000 3. Maximize the value of "Expected returns - 0,1*VaR"
Assume the riskless rate of interest is 2% per year, and the expected rate of return on the market portfolio is 8% per year. According to the CAPM, what is the efficient way for an investor to achieve an expected rate of return of 5% per year? If the standard deviation of the rate of return on the market portfolio is 4%, what is the standard deviation of the portfolio producing the 5% expected return? • Plot the CML and locate the foregoing portfolios on the same graph. • Plot the SML and locate the foregoing portfolios on the same graph.
Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $150,000 or $290,000 with equal probabilities of 0.5. The alternative risk-free investment in T-bills pays 3% per year. Required: a. If you require a risk premium of 7%, how much will you be willing to pay for the portfolio? b. Suppose that the portfolio can be purchased for the amount you found in (a). What will be the expected rate of return on the portfolio? c. Now suppose that you require a risk premium of 12%. What price are you willing to pay? Complete this question by entering your answers in the tabs below. Required A Required B Required C If you require a risk premium of 8%, how much will you be willing to pay for the portfolio? Note: Do not round your intermediate calculations. Round your answer to the nearest whole dollar amount. Price Required A Required B >
Suppose the expected return on the tangent portfolio is 10% and its volatility is 40%.The risk-free rate is 2%.(a) What is the equation of the Capital Market Line (CML)?(b) What is the standard deviation of an efficient portfolio whose expected return of8%? How would you allocate $1,000 to achieve this position

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